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Finding the Fourth Proportional to 7,350, 10,143.64 and 4,038.64

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Solution

The fourth proportional to 7,350, 10,143.64 and 4,038.64 is: 5,573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350 : 10,143.64 = 4,038.64 : x
  2. Step 2: Convert to fraction form
    7,350/10,143.64 = 4,038.64/x
  3. Step 3: Cross multiply
    7,350x = 10,143.64 × 4,038.64
  4. Step 4: Simplify right side
    7,350x = 40,966,510.25
  5. Step 5: Solve for x
    x = 40,966,510.25/7,350
  6. Step 6: Final answer
    x = 5,573.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.